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Popular >

factor (3^{13})^{1/4}

Solution

factor

(3^{13})^{\frac{1}{4}}

Solution

27 \cdot 3^{\frac{1}{4}}

+1

Solution steps

(3^{13})^{\frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 3^{13 \cdot \frac{1}{4}}

13 \cdot \frac{1}{4} = \frac{13}{4}

= 3^{\frac{13}{4}}

3^{\frac{13}{4}} = 3^{3} \cdot 3^{\frac{1}{4}}

= 3^{3} \cdot 3^{\frac{1}{4}}

3^{3} = 27

= 27 \cdot 3^{\frac{1}{4}}

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Frequently Asked Questions (FAQ)

What is factor (3^{13})^{1/4} ?
The solution to factor (3^{13})^{1/4} is 27*3^{1/4}